which of the following are solutions to the quadratic equation below? x^2+7x-8=0

Step-by-step explanation:

It is known that area of a circular is calculated as follows.

\(Area = \pi \times r^{2}\)

So, when a circular field of area of approximately 500 \(m^{2}\) is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to  calculate the radius it is required to divide the diameter by 2.

Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.

For the sample of weight of corn chips dispensed in dispensing machine, probability that the sample mean weight of these 100 bags falls between 10.50 and 10.80 ounces is equals to 0.4332.

We have a sample of weight of corn chips dispensed by the dispensing machine.

Dispensed weight of bag by the dispensing machine = 10 ounces

The sample of weight of bags follows the normal distribution with, sample mean, \( \bar x\) = 10.5 ounces

standard deviations = 2 ounces

Randomly selected from this dispensing machine. Sample size, n = 100

We have to determine probability that the sample mean weight of these 100 bags falls between 10.50 and 10.80 ounces,

\(P( 10.50 < \bar x < 10.80),\)

Using Z-score formula for sample mean in normal distribution, \(Z = \frac{ \bar x - \mu}{ \frac{\sigma}{\sqrt{n}} }\)

where μ--> population mean

σ -->standard deviations

n --> Sample size

Now, the required probability is \(P( 10.50 < \bar x < 10.80)\)

= \(P(\frac{ 10.50 - \mu }{\frac{\sigma}{\sqrt{n}}} < \frac{ \bar x - \mu}{ \frac{\sigma}{\sqrt{n}} } < \frac{ 10.80 - \mu }{\frac{\sigma}{\sqrt{n}}} )\)

= \(P(\frac{ 10.50 - 10 }{\frac{2}{\sqrt{100}}} < z< \frac{ 10.80 - 10 }{\frac{2}{\sqrt{100}}} )\)

= \(P(\frac{ 0.50 }{\frac{2}{10} }< z< \frac{ 0.80 }{\frac{2}{10}})\)

= \(P(2.5 < z< 4)\)

= 0.4332

Hence, required value is 0.4332.

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The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

D: Divide both sides by 2 to solve for x

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

29 feet

The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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In linear equation, 4  is the maximum whole number of gigabytes of data he can use while staying within his budget.

What are a definition and an example of a linear equation?

Let the number of gigabyte so f data she can use while staying within her budget then,

we can write the cost equation as following

 4x + 66.50 ) ≤ 85

   85 - 66.50 ≤ 4x

   18.5 ≤ 4x

   x ≤ 18.5/4

   x ≤ 4. 625

   Xmax =  4

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The minimal number of parameters for a multinomial model with the English alphabet as the vocabulary is 26.

In a multinomial model, we assume that the occurrence of each letter in a document follows a multinomial distribution. Since we have 26 letters in the English alphabet, there are 26 possible outcomes for each trial.

Therefore, we need 26 parameters to describe the probability of each outcome. Specifically, we need to estimate the probability of each letter appearing in a document, which gives us a probability vector of length 26.

This probability vector contains 26 parameters. Hence, the minimal number of parameters for this multinomial model is 26.

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Answer:

P = 14.9

Step-by-step explanation:

i used distance formula:  

d = √(difference of y-values, squared, + difference of x-values, squared)

distance from (-2,1) and (2,4):  \(\sqrt{25}\) = 5

distance from (-2,1) and (-1,-2):  \(\sqrt{10}\)

distance from (-1,-2) and (2,4):  \(\sqrt{45}\) = 3\(\sqrt{5}\)

P = 5 + \(\sqrt{10}\) + 3\(\sqrt{5}\)  ≈  14.9

Using the Binomial probability distribution,

the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹

We have given that,

total number of multiple choice questions= 27

each question has number of possible answer

= 5

but only one is correct .

we have to find out the probability that sheer guesswork will yield 18 correct answer.

P(C) = probability of answering any question correctly = (1 / 5) = 0.2

P(W) = probability of answering any question wrongly = (4/ 5) = 0.8

Using the Binomial probability distribution,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹

Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹

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Answer:

x=-3, y=4.5

Step-by-step explanation:

Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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Answer 6

Step-by-step explanation:

I found the answer on calculator

The length of the frame the width is 22

What is the perimeter of a frame whose length is 22 inches and whose breadth is 14 inches?

The distance around an object is called the perimeter.

For instance, the yard of your home is fenced in. The perimeter is the length of the fence. Your fence is 200 feet long if the yard is 50 feet by 50 feet.

The answer to the above-mentioned difficulty is provided here.

We will search for the length since the frame's breadth is 14 inches and its perimeter is 72 inches. 2L + 2W is the perimeter formula.

Therefore, let's swap the values.

P = 2L + 2w

72 = 2L + 2(14) (14)

72 = 2L + 28

72 -28 = 2L\s44 = 2L \s22 = L

Consequently, the picture frame's length

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Answer: 200m^3

Step-by-step explanation:

Rectangular prism (Cuboid) formula - L * W * H Length × Width × Height

10m(5m)(4m) = 200m^3

Answer: the answer would be 24 = m

Step-by-step explanation:

I got that answer be dividing both 2.5 and 15 and figured out that 1 hour equals 6 mile so that would make it so that it is 24

Answer:

domain expansion

Step-by-step explanation:

jujutsu kaisen brúh

The probability that a dart thrown at random within the dartboard will hit the bull's eye is approximately 0.1 or 10%.

To find the probability of hitting the bull's eye on a dartboard, we need to compare the areas of the bull's eye and the entire dartboard.

The area of a circle is given by the formula: A = π * r²

The bull's eye has a radius of 6 inches, so its area is:

A_bullseye = π * 6²

= 36π square inches

The entire dartboard has a radius of 16 inches, so its area is:

A_dartboard = π * 16²

= 256π square inches

The probability of hitting the bull's eye is the ratio of the area of the bull's eye to the area of the dartboard:

P = A_bullseye / A_dartboard

= (36π) / (256π)

= 0.140625

Rounding this to the nearest tenth, the probability of hitting the bull's eye is approximately 0.1.

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Hawaii:  14 blue chips

New York: 10 yellow chips

California: 10 red chips

Alaska: 6 green chips

The radio station awarded 40 different coloured chips to 100% winners.

To know how many colored chips should they use to represent each vacation option the following steps are taken:

Hawaii:( 35/100) × 40

          = 14 blue chips.

New York: (25/100) ×40

          = 10 yellow chips.

California: ( 25/100)  ×40

          = 10 red chips.

Alaska : (15/100)  × 40

          = 6 green chips.

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Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

A closed rectangular box with faces parallel to the coordinate planes has one bottom corner at the origin (0, 0, 0) and the opposite top corner at the point (a, b, c), where a = 4, b = 5, and c = 6. Find the dimensions of the box that minimizes the sum of the areas of its six faces.

Solution:

Let's denote the dimensions of the box as length (L), width (W), and height (H).

We need to minimize the sum of the areas of the six faces, which can be expressed as:

\(\[A = 2(LW + LH + WH)\]\)

Subject to the constraints:

a) \(\(L \geq 0\), \(W \geq 0\), \(H \geq 0\) (dimensions must be positive or zero)\)

b) \(\(L \leq a\), \(W \leq b\), \(H \leq c\) (dimensions cannot exceed the given values)\)

To find the dimensions that minimize A, we can use the method of Lagrange multipliers. We introduce a Lagrange multiplier \(\(\lambda\)\) for each constraint.

The objective function is:

\(\[F(L, W, H, \lambda_1, \lambda_2, \lambda_3) = 2(LW + LH + WH) + \lambda_1(L - a) + \lambda_2(W - b) + \lambda_3(H - c)\]\)

Taking partial derivatives with respect to L, W, H, \(\(\lambda_1\), \(\lambda_2\), and \(\lambda_3\)\) and setting them to zero, we get the following equations:

\(\[\frac{\partial F}{\partial L} = 2(W + H) + \lambda_1 = 0\]\[\frac{\partial F}{\partial W} = 2(L + H) + \lambda_2 = 0\]\[\frac{\partial F}{\partial H} = 2(L + W) + \lambda_3 = 0\]\[\frac{\partial F}{\partial \lambda_1} = L - a = 0\]\[\frac{\partial F}{\partial \lambda_2} = W - b = 0\]\[\frac{\partial F}{\partial \lambda_3} = H - c = 0\]\)

From the first three equations, we have:

\(\[L = -\frac{\lambda_1}{2} - \frac{H}{2}\]\)

\(\[W = -\frac{\lambda_2}{2} - \frac{H}{2}\]\)

Substituting these expressions into the last three equations, we get:

\(\[-\frac{\lambda_1}{2} - \frac{H}{2} = a\]\\\\\-\frac{\lambda_2}{2} - \frac{H}{2} = b\]\\\\\H - c = 0\]\)

From the third equation, we have \(\(H = c\)\). Substituting this into the first two equations, we get:

\(\[-\frac{\lambda_1}{2} - \frac{c}{2} = a\]\\\\\-\frac{\lambda_2}{2} - \frac{c}{2} = b\]\)

Solving these equations for \(\(\lambda_1\) and \(\lambda_2\)\), we get:

\(\[\lambda_1 = -2a - 2c\]\\\\\\lambda_2 = -2b - 2c\]\)

Substituting

these values back into the expressions for L and W, we get:

\(\[L = -\frac{\lambda_1}{2} - \frac{H}{2} = a + c\]\\\\\W = -\frac{\lambda_2}{2} - \frac{H}{2} = b + c\]\)

Therefore, the dimensions of the box that minimize the sum of the areas of its six faces are \(\(L = a + c = 4 + 6 = 10\), \(W = b + c = 5 + 6 = 11\), and \(H = c = 6\).\)

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Answer:

Rock bundles:

950R+250

pop bundles:

1200P+300

Step-by-step explanation:

R=amount of rock bundles

P=amount of pop bundles

Rock bundles:

950R+250

pop bundles:

1200P+300

Answer:

Pop equation:1200C + 300 = D

Rock equation:950A + 250 = B

Step-by-step explanation:

The exponential function that models this situation is: f(x) = 6(1.08)^x, where x represents the number of time periods.

The initial amount of 6 is multiplied by the rate increase of 8% (or 0.08) raised to the power of x, which represents the number of time periods. This will result in an increase in the function's output over time. Explanation: An exponential function is a mathematical function where the input variable is the exponent of a constant base. In this situation, the constant base is 1.08 (which is the factor by which the initial amount is increasing) and the input variable is x (which represents time periods). The increase in the function's output is due to the compounding effect of the rate increase over time.                  

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it is becase he  is just a happy dog

Answer:

y = - 5x + 30

|(2-4i)^n| is grater than 1.

A complex number is a number of the form a + bi, where a and b are real numbers ; This way, a complex number is defined as a polynomial.

Here, given that,

|(2-4i)^n|

where, n>1

then , we get,

|(2-4i)^n| is grater than 1.

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The given vector field is: F(x, y, z) = xi + yj + zk, the answer is 3.

The surface of the cube can be represented as: S = {x, y, z | x ∈ [0, 1], y ∈ [0, 1], z ∈ [0, 1]}

According to the Divergence theorem, we can write: ∫∫S F. n dS = ∫∫∫V (div F) dV

Now, we need to evaluate the divergence of the given vector field, F(x, y, z).

Let's evaluate the divergence of F: div F = (∂Fₓ/∂x) + (∂Fᵧ/∂y) + (∂Fₓ/∂z) = 1 + 1 + 1 = 3

Now, we have: ∫∫S F. n dS = ∫∫∫V (div F) dV= ∫∫∫V 3 dV= 3V

Where, V is the volume of the cube.

So, V = (1 - 0)(1 - 0)(1 - 0) = 1∴ ∫∫S F. n dS = 3V = 3 x 1 = 3

So the answer is: 3

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The answer will be .25 and .25 for both set of question. using probablity.

What is Probability ?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

Total number of students =1-juniors+chemistry+neither+both

(a) For both a junior and chemistry major =1/4 =. 25

(b) probability that she is also a chemistry major will be 1/4 =. 25

Hence The answer for the above two set of qustion will be .25 and .25.

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Step-by-step explanation:

Amount borrowed=400

interest rate=4%

Amount of interest after x years =0.04XxX400=$16x

Total to be paid back=400+0.04XxX400=400+16(1)

1) the amount of interest.if Franco pays back the loan in x=1 years is

16x1=$16

2) the amount of interest,if Franco pay back the loan in x=2 years is,

16x2=$32

3) the amount of franco will pay the lender after 2 years will be

400+(16x2)=400+32=$432